Unit 2 Multiplication

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1	Unit Name: Multiplication							Unit pacing: 6 Weeks** Unit Start: September 2
2	Unit Overview and Enduring Understandings	In this unit, students will expand their understanding of multiplication. Students will go from one digit times one digit to multi-digit by one digit. Students will be introduced to multiplication with regrouping. Additionally, during this unit students will be able to identify common number patterns that appear when multiplying numbers. Enduring Understandings: What will students understand (about what big ideas) as a result of the unit? "Students will understand that..." 1. Multiplication and division are inverse operations that can be used to solve problems, understanding one operation can help you with the other. 2. Recognizing patterns and using properties such as the distributive property helps your ability to manipulate numbers and solve math problems effectively. 3. Communicating math ideas effectively involves using place value understanding.
3	Essential Questions	These questions aim to deepen students' understanding of how to represent and interpret multiplicative comparisons to enhance their problem-solving abilties and mathematical comprehension. 1. How can you use multiplication to solve a division problem, and vice versa? 2. What strategies can you use to determine if a multiplication or division equation is accurate? 3. How can you use patterns in multiplication to understand division facts? 4. How does understanding multiplicative comparisons help in writing accurate equations? 5. What information does a multiplication equation provide about the relationship between two quantities? 6. How can we describe the same product in different ways using different groups and quantities? 7. How can recognizing multiplicative comparisons help us solve real-world problems?
4	Content Domain	Essential Standards	Supporting Standards	Concepts	Skills	Strategies/Models	Vocabulary	Evidence of Mastery	Assessments	District Aligned Resources
5	Conceptual Understanding		4.OA.A.1- Represent verbal statements of multiplicative comparisons as multiplication equations. Interpret a multiplication equation as a comparison (e.g., 35 is the number of objects in 5 groups, each containing 7 objects, and is also the number of objects in 7 groups, each containing 5 objects).				Factor Product Factor Array Area model Repeated addition Equal groups Commutative Property of multiplication Identity Property of multiplication Zero Property of multiplication	See: Performance Level Descriptors Students will answer questions on Galileo. Mastery: 80- 100% Approaching Mastery: 60-79% Developing Mastery: 40-59% Emerging Mastery: 0-39%	Students will take a Galileo CFA quiz to assess their current understanding of multiplying multi-digit numbers by one digit numbers at the half way point (middle of week 2) of the unit. Students will then take a summative Galileo CFA end of unit test that will encompass all standards and skills that were learned.	Into Math Module 3 Module 4 Module 5
6	Application	4.NBT.B.5- Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.		Key Concepts for 4.NBT.B.5 - Multiplication of whole numbers with up to four digits by a one-digit number. - Multiplication of two two-digit numbers using structured strategies. - Use of place value to simplify and organize calculations. - Application of properties of operations, including the distributive, associative, and commutative properties. - Representation of calculations with equations, rectangular arrays, and area models to visualize mathematical reasoning. - Demonstration of the relationship between multiplication and area concepts. - Structured approaches for breaking down complex multiplication problems efficiently	Targeted Skills for 4.NBT.B.5 - Understanding Place Value in multi-digit multiplication to break down numbers into manageable parts. - Applying Properties of Operations (distributive, associative, and commutative) to simplify calculations. - Using Area Models, Rectangular Arrays, and Equations to represent and explain multiplication visually. - Performing Multi-Digit Multiplication Efficiently with structured strategies rather than relying on memorization alone. - Recognizing Patterns in Multiplication to strengthen computational fluency. - Interpreting Products in Context to connect multiplication to real-world applications.
7	Procedural Skills and Fluency		4.OA.B.4- Find all factor pairs for whole number in the range 1 to 100 and understand that a whole number is a multiple of each of its factors. 4.OA.C.6- When solving problems, assess the reasonableness of answers using mental computation and estimation strategies including rounding.
8	Considerations:	**Consider your students' prerequisite knowledge and understanding when driving the pace of your unit. Consider building upon students' knowledge of area models and arrays when preparing for multi-digit by 1-digit multiplication and division to allow them to see the visual representation of the equation.
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